matlab代码循环运行-SparseMatrix:在Matlab中实现稀疏矩阵的存储和运算

上传者: 38732744 | 上传时间: 2021-09-25 14:49:19 | 文件大小: 129KB | 文件类型: ZIP
matlab代码循环运行 SparseMatrix Implement the storage and operation of sparse matrix in matlab. 按行三数组与全存储相互转换 全存储转换为三数组 通过两个for循环将全矩阵转换为按行三数组存储模式,时间复杂度为$O(n^2)$,运行结果见下图,转换结果的正确性可以通过后续运算过程体现出来 三数组转换为全存储 通过两个for循环,其中一个for循环对行遍历,然后第二个for循环对该行非零元素(含对角元)进行遍历。假设每行非零元分布大体均匀,于是时间复杂度为$O(n\times \frac{N}{n}) = O(N)$,考虑极端情况,时间复杂度为$O(n\times N)$。 运行结果如下图所示,转换结果的正确性可以通过后续运算过程体现出来。 按行三数组与Matlab稀疏存储 Matlab稀疏存储转换为按行三数组存储 首先通过对非零行元素从小到大排序,然后对非零元按行进行遍历进而online转换为三数组存储,对某行全空对对角元进行操作,因为是online的,所以可以判断时间复杂度为$O(n)$ 运行结果如下图

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